Finding the Fourth Proportional to 81,393.69, 122,109.14 and 31,474.17
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Solution
The fourth proportional to 81,393.69, 122,109.14 and 31,474.17 is: 47,218.45
Step by Step Solution
- Step 1: Write the proportion equation
81,393.69 : 122,109.14 = 31,474.17 : x - Step 2: Convert to fraction form
81,393.69/122,109.14 = 31,474.17/x - Step 3: Cross multiply
81,393.69x = 122,109.14 × 31,474.17 - Step 4: Simplify right side
81,393.69x = 3,843,283,673.54 - Step 5: Solve for x
x = 3,843,283,673.54/81,393.69 - Step 6: Final answer
x = 47,218.45
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.